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Hyperbolic & Dispersive PDE Seminar

Alberto Bressan - Uniqueness and error estimates for hyperbolic conservation laws.

Alberto Bressan (PennState University)

Location:  Hill 705
Date & time: Thursday, 07 September 2023 at 3:30PM - 4:30PM

In this talk I shall review some old and new results about uniqueness of solutions to hyperbolic conservation laws. In particular: for any n x n strictly hyperbolic system, any weak solution which takes values inside the domain of the semigroup of vanishing viscosity limits, and whose shocks satisfy the Liu admissibility conditions, actually coincides with a semigroup trajectory. Implications of his result toward a posteriori error estimates will be discussed.

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